Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Which expression represents a negative number?
|
|
|
2.
|
Which expression is not equal to 9?
|
|
|
3.
|
What is  ? a. | 9 | b. |  | c. | 10 | d. | 11 |
|
|
|
4.
|
The half-life of a certain radioactive element can be modelled by the formula
 , where M0 is the initial mass, in grams, t is the elapsed time,
in hours, and M is the remaining mass after t hours. What is the half-life of the
element?
|
|
|
5.
|
Which of the following is equivalent to  ?
|
|
|
6.
|
Write  as a power with a single positive exponent.
|
|
|
7.
|
The area, in square metres, of Jack’s driveway is represented by the
expression 64x2. Jack shovelled 100 m2 of the driveway before taking a
break. Suppose the remaining area of the driveway is rectangular. What are the dimensions of the
rectangle?
a. | 8x + 10 by 8x – 10 | b. | 10 – 8x by 10 –
8x | c. | 8x – 10 by 8x – 10 | d. | 10 + 8x by 10
– 8x |
|
|
|
8.
|
What expression is equivalent to 9m2 – 48m +
64?
a. | (3m + 8)2 | b. | (3m –
4096)2 | c. | (3m –
8m)2 | d. | (3m –
8)2 |
|
|
|
9.
|
Which pair of integers has a product of –60 and a sum of 4?
a. | –6 and 10 | b. | –6 and –10 | c. | 6 and
10 | d. | 6 and –10 |
|
|
|
10.
|
What is the factored form of  ?
|
|
|
11.
|
Which multiplication statement is represented by the algebra tiles
below? 
|
|
|
12.
|
What expression represents the surface area of a cube with a side length of 
units?  a. | 6x2 + 96 | b. | x3 –
12x2 + 48x – 64 | c. | x2 – 8x +
16 | d. | 6x2 – 48x + 96 |
|
|
|
13.
|
Benjamin starts walking to a friend’s house and gradually increases his
speed until he gets there. After visiting for a short time, Benjamin and his friend start walking
back to Benjamin’s house. On the way, they meet up with a third friend. The three boys continue
to walk at a slower pace. When Benjamin realizes that he is late, he starts walking at a faster
constant rate until he gets home. Which distance-time graph represents this situation?
|
|
|
14.
|
State the domain of this function in set notation. 
|
|
|
15.
|
Which relation is a function?
a. | {(3, 4), (9, 8), (3, 5), (1, 3)} | b. | {(1, 2), (4, 7), (8, 9), (3,
3)} | c. | {(9, 0), (1, 2), (1, 4), (4, 2)} | d. | {(2, 1), (2, 4), (5, 9), (1,
16)} |
|
|
|
16.
|
The table represents a linear function. What is the missing value?
x | y | –4 | –4 | –3 | –8 | –2 | –12 | –1 | ? | 0 | –20 | 1 | –24 | | |
|
|
|
17.
|
Points  and  are on a line. What is the rise from
point A to point B?
|
|
|
18.
|
Points  and  are on a line. What is the run from point
D to point C?
|
|
|
19.
|
What is the equation  in general form?
|
|
|
20.
|
For the line  , which statement is true? a. | The x-intercept is 5 and the y-intercept is
–7. | b. | The x-intercept is 5 and the y-intercept is 7. | c. | The
x-intercept is –7 and the y-intercept is 5. | d. | The
x-intercept is –5 and the y-intercept is 7. |
|
|
|
21.
|
The equation of the line through the point  with slope –8
is
|
|
|
22.
|
Using the table of values, determine the equation of the line.
|
|
|
23.
|
The equation of line A is  . Which equation represents a line
that is perpendicular to line A?
|
|
|
24.
|
The equation of line A is y = 5.5x + 10, while the equation of
line B is y = 4.5x + 10. Which statement is true?
a. | Line A is parallel to line B. | b. | Line B is steeper than line
A. | c. | Line B is perpendicular to line A. | d. | Line A is steeper than line
B. |
|
|
|
25.
|
What is the x-coordinate for the intersection point in the linear system
 and  ?
|
|
|
26.
|
Which of the following linear equations is equivalent to  ?
|
|
|
27.
|
A charity ball costs $2700 for the banquet hall rental plus $40 per person for
food. If tickets to the event are $72 each, how many tickets must be sold before the organizers start
to make a profit?
|
|
|
28.
|
Harper makes and sells denim jackets in a small store at the mall. The store
rent is $680 per month. Materials cost $20 per jacket. If Harper charges $80 for each jacket, how
many must she sell in one month for her revenue to exceed her costs?
|
|
|
29.
|
A chemistry teacher needs to make 10 L of 37.5% nitric acid solution. The acid
solutions available are 30% nitric acid and 55% nitric acid, by volume. How many litres of each
solution must be mixed to make the 37.5% solution?
a. | 6 L of the 30% solution and 4 L of the 55% solution | b. | 3 L of the 30%
solution and 7 L of the 55% solution | c. | 7 L of the 30% solution and 3 L of the 55%
solution | d. | 8 L of the 30% solution and 2 L of the 55% solution |
|
|
|
30.
|
A right triangle has legs measuring 12 cm and 5 cm. The length of the hypotenuse
is
a. | 17 cm | b. | 13 cm | c. | 8
cm | d. | 169 cm |
|
|
|
31.
|
In the triangle, RS = 8 cm and tan  = 0.444. What is the length of
TS?  a. | 3.6 cm | b. | 18.0 cm | c. | 8.0
cm | d. | 19.7 cm |
|
|
|
32.
|
In the triangle, QA = 15 cm and tan R = 1.071. What is the length of the
hypotenuse, to the nearest tenth of a centimetre?  a. | 29.0 cm | b. | 15.0 cm | c. | 14.0
cm | d. | 20.5 cm |
|
|
|
Use the diagram to answer the following question(s).
|
|
|
33.
|
Determine the length of x, to the nearest tenth of a metre.
a. | 6.6 m | b. | 11.2 m | c. | 12.8
m | d. | 5.5 m |
|
|
|
34.
|
Determine the length of y, to the nearest tenth of a metre.
a. | 9.4 m | b. | 6.6 m | c. | 5.5
m | d. | 8.6 m |
|
|
|
35.
|
If  , what is the measure of  , to the nearest
degree?
|
|
|
36.
|
A truck driver earns $21.75/h and works 7.75 hours. How much money did the truck
driver earn?
a. | $168.56 | b. | $152.25 | c. | $29.50 | d. | $146.81 |
|
|
|
37.
|
A desk clerk works the late shift and earns $236.31 for the 7.25-h shift. A
shift premium of $75.00 is paid for working later. What is the regular rate of pay/h?
a. | $22.25 | b. | $10.34 | c. | $3.15 | d. | $42.94 |
|
|
|
38.
|
Carmen earns an annual salary of $47 000. Her total deductions for the year are
$9635.00, $3619.00, $2326.50, and $780.20 for federal tax, provincial tax, CPP, and EI, respectively
each year. What is Carmen’s net pay for the year?
a. | $30 639.30 | b. | $49 909.30 | c. | $47
000.00 | d. | $16 360.70 |
|
|
|
Use the pay stub to answer the following questions.
Hunter
receives a pay stub from his job as an executive assistant. He is paid weekly. Due to a computer
glitch some of the calculations were replaced by “ *****”. Earnings
Statement Employee Name: Smith, Hunter Occupation: Writer/Editor Period End Date: March
20 Cheque Number: 1285 | Earnings | | | | | Deductions | | | Description | Hours | Rate | Amount | | Description | Amount | | Regular
Hours | 40 | 19.75 | ***** | | Income Tax | 203.99 | | Overtime | 2.5 | 29.63 | ***** | | EI | 14.92 | | Overtime | 0 | 39.50 | ***** | | CPP | 44.48 | | Vacation
Pay | | | 34.56 | | | | | Gross Pay | | | ***** | | Total Deductions | ***** | | | | | | | Net
Pay | ***** | | | | | | | |
|
|
|
39.
|
What percentage of Hunter’s gross pay was deducted from his take home
during the pay period?
a. | 29.3% | b. | 25.4% | c. | 74.6% | d. | 70.7% |
|
|
|
40.
|
Ali is hired by the Ministry of Forests plant trees for the summer. On average
he plants 3500 trees per week. What is Ali’s gross pay at the end of the 6 weeks if he is paid
$0.17 per tree?
a. | $3570.00 | b. | $357.00 | c. | $5950.00 | d. | $595.00 |
|
Short Answer
|
|
|
1.
|
Oliver earns an annual salary of $76 000. His total deductions for the year are
$15 580.00, $5852.00, $2593.80, and $858.22 for federal tax, provincial tax, CPP, and EI,
respectively. What is Oliver’s net pay for the year?
|
|
|
2.
|
Frazer is hired as a lifeguard and earns $24.25/h with a 3.75 h work day. The
position is unionized with 1.25% deducted for union dues. How much money would Frazer pay in union
dues each working day?
|
|
|
3.
|
Express  as a power.
|
|
|
4.
|
Factor  .
|
|
|
5.
|
Two angles add to 90 degrees. One angle is 29 degrees greater than the other.
Write a system of equations describing the relationship between the two angles. Do not solve.
|
Problem
|
|
|
Use the information to answer the following questions.A company
manufactures fences for residential use. The production of fencing can be modelled using the equation
s =  , where s is the number of sections of fencing
produced and h is the number of hours of labour.
|
|
|
1.
|
How many hours of labour will be needed if the company wants to maintain a
production rate of 21 sections per day?
|
|
|
2.
|
Marlene’s pay increases by 30% every month. If her first pay is $475,
determine the amount of her pay in month 4.
|
|
|
3.
|
Avery is travelling out of the country for spring break and wants to investigate
whether getting an international text messaging plan is worth it. Her currently provider will charge
her $0.35 for each text message she sends and $0.25 for each text message she receives. She can pay
$25 for unlimited international texting while she is away. What number of text messages can she send
and receive so that she does not need to purchase the unlimited package? Use a graph to support your
answer. 
|
|
|
4.
|
An airplane travelling in a headwind takes 24 h to cover a distance 11,112 km.
In the same amount of time a plane can cover a distance of km in a tailwind that is 2 times as strong
as the headwind.
a) How fast is the tailwind?
b) How fast would the plane
travel in no wind?
|